How to derive the area of a segment formula.
How to define and construct an angle bisector.
How to construct a midpoint and how to define a perpendicular bisector.
How to duplicate a line segment using a compass and straightedge.
How to find the length of tangent segments drawn to a circle from the same point.
How to define and label a line segment.
How to label an angle bisector; how to use an angle bisector to find a missing variable.
How to write the parametric equations of a line segment that goes from point A to point B.
How to identify, define and label a midpoint.
How to relate the sides of an angle bisected and the lengths of the opposite side.
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
How to prove two triangles are similar using a line parallel to a base.
How to define a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
How to define a median in a triangle.
How to define a midsegment in a triangle.
How to define a rhombus and compare it to a square and rectangle.
How to construct the incenter using a compass and straightedge.
How to derive the formula for the midpoint of a segment in three dimensions.